A Optimum Conversion and Maximum

OPTIMUM CONVERSION AND MAXIMUM PROFIT FOR A FIRST-ORDER REACTION 

If the result (8.4.1.A-f) is substituted into the first-order rate form 

The case of reversible exo/Aenn/c reactions is more complicated, because even though the rate may increase with temperature, once the equilibrium conversion is reached, higher temperatures have an adverse effect on the equilibrium conversion. Thus, there is an optimum intermediate temperature where reasonably rapid rates are obtained together with a sufficiently high equilibrium conversion. The precise value of the optimal temperature is obtained from (8.1-4) at the final conversion xm - 

This can always be integrated for a constant value of temperature, and then the best temperature found for a given conversion xm- It can be shown that this is exactly equivalent to the problem of choosing the optimal temperature for the maximum conversion for a given reaction time Of. 

OPTIMAL TEMPERATURE TRAJECTORIES FOR FIRST-ORDER REVERSIBLE REACTIONS 

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